期刊论文详细信息
Journal of Mathematical Sciences
Twisted Alexander Polynomials and Incompressible Surfaces Given by Ideal Points
Kitayama, Takahiro1 
关键词: Twisted Alexander polynomial;    Reidemeister torsion;    character variety.;   
DOI  :  
学科分类:数学(综合)
来源: University of Tokyo * Department of Mathematical Sciences
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【 摘 要 】

WestudyincompressiblesurfacesconstructedbyCuller-ShalentheoryinthecontextoftwistedAlexanderpolynomials.Fora$1$stcohomologyclassofa$3$-manifoldthecoefficientsoftwistedAlexanderpolynomialsinduceregularfunctionsonthe$SL_2(mathbbC)$-charactervariety.WeprovethatifanidealpointgivesaThurstonnormminimizingnon-separatingsurfacedualtothecohomologyclass,thentheregularfunctionofthehighestdegreehasafinitevalueattheidealpoint.

【 授权许可】

Unknown   

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